Pattern formation via mixed attractive and repulsive interactions for nonlinear Schrodinger systems

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The paper is concerned with the asymptotic behavior of positive least energy vector solutions to nonlinear Schrodinger systems with mixed couplings which arise from models in Bose-Einstein condensates and nonlinear optics. We show that due to mixed attractive and repulsive interactions the least energy solutions exhibit new interesting component-wise pattern formations, including co-existence of partial synchronization and segregation. The novelty of our approach is the successful use of multiple scaling to carry out a refined asymptotic analysis of convergence to a multiply scaled limiting system. (C) 2016 Elsevier Masson SAS. All rights reserved
Publisher
ELSEVIER SCIENCE BV
Issue Date
2016-09
Language
English
Article Type
Article
Citation

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v.106, no.3, pp.477 - 511

ISSN
0021-7824
DOI
10.1016/j.matpur.2016.03.001
URI
http://hdl.handle.net/10203/212896
Appears in Collection
MA-Journal Papers(저널논문)
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